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Chords of sensus

Edit 2 3 …
Below are listed the 15-limit dyadic chords of sensus temperament, subject to the condition that no interval smaller than 12/11, at 150 cents, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 126/125 are cataloged as starling, by 245/243 sensamagic, by 176/175 valinorsmic, by 441/440 werckismic, by 1232/1215 sensmic, by 91/90 superleap, by 196/195 mynucumic, by 325/324 marveltwin, and by 352/351 minthmic. Codimension two temperaments are labeled thrush or shrusus, or according to two commas tempered out: starling-superleap, valinorsmic-superleap, sensamagic-mynucumic, werckismic-superleap, mynucumic-minthmic, senga-superleap, superleap-minthmic, or marveltwin-minthmic. Rank three temperaments are labeled tridecimal thrush, shrusic, sensigh, treecreeper or veery. Finally, if the full sensus temperament is required, the chord is labeled sensus.

Sensus has MOS of size 5, 8, 11, 19, 27 and 46. The largest chords on these lists have complexity 31, and so would require the 46 note MOS, but there are many chords of much lower complexity. The 8-note MOS has a number of chords, the 11-note MOS has a considerable store, and of course the 19-note MOS many more.

Triads

Number
 Chord
 Transversal
 Type
1
 0-1-2
 1-9/7-5/3
 sensamagic
2
 0-2-4
 1-5/3-7/5
 starling
3
 0-1-5
 1-9/7-9/5
 utonal
4
 0-4-5
 1-7/5-9/5
 otonal
5
 0-1-6
 1-9/7-7/6
 sensamagic
6
 0-2-6
 1-5/3-7/6
 otonal
7
 0-4-6
 1-7/5-7/6
 utonal
8
 0-5-6
 1-9/5-7/6
 sensamagic
9
 0-1-7
 1-9/7-3/2
 utonal
10
 0-2-7
 1-5/3-3/2
 otonal
11
 0-5-7
 1-9/5-3/2
 utonal
12
 0-6-7
 1-7/6-3/2
 otonal
13
 0-2-9
 1-5/3-5/4
 utonal
14
 0-4-9
 1-7/5-5/4
 starling
15
 0-5-9
 1-9/5-5/4
 starling
16
 0-7-9
 1-3/2-5/4
 otonal
17
 0-1-10
 1-13/10-13/8
 utonal
18
 0-4-10
 1-7/5-13/8
 mynucumic
19
 0-5-10
 1-9/5-13/8
 marveltwin
20
 0-6-10
 1-7/6-13/8
 mynucumic
21
 0-9-10
 1-5/4-13/8
 otonal
22
 0-4-13
 1-7/5-7/4
 utonal
23
 0-6-13
 1-7/6-7/4
 utonal
24
 0-7-13
 1-3/2-7/4
 otonal
25
 0-9-13
 1-5/4-7/4
 otonal
26
 0-1-14
 1-9/7-9/8
 utonal
27
 0-4-14
 1-18/13-9/8
 utonal
28
 0-5-14
 1-9/5-9/8
 utonal
29
 0-7-14
 1-3/2-9/8
 ambitonal
30
 0-9-14
 1-5/4-9/8
 otonal
31
 0-10-14
 1-13/8-9/8
 otonal
32
 0-13-14
 1-7/4-9/8
 otonal
33
 0-1-15
 1-9/7-22/15
 sensmic
34
 0-2-15
 1-5/3-22/15
 valinorsmic
35
 0-5-15
 1-9/5-22/15
 minthmic
36
 0-6-15
 1-7/6-22/15
 valinorsmic
37
 0-9-15
 1-5/4-22/15
 valinorsmic
38
 0-10-15
 1-13/8-22/15
 minthmic
39
 0-13-15
 1-7/4-22/15
 valinorsmic
40
 0-14-15
 1-9/8-22/15
 sensmic
41
 0-2-17
 1-5/3-11/9
 otonal
42
 0-4-17
 1-7/5-11/9
 werckismic
43
 0-7-17
 1-3/2-11/9
 minthmic
44
 0-10-17
 1-13/8-11/9
 minthmic
45
 0-13-17
 1-7/4-11/9
 werckismic
46
 0-15-17
 1-22/15-11/9
 utonal
47
 0-1-18
 1-9/7-11/7
 otonal
48
 0-4-18
 1-7/5-11/7
 werckismic
49
 0-5-18
 1-9/5-11/7
 werckismic
50
 0-9-18
 1-5/4-11/7
 valinorsmic
51
 0-13-18
 1-7/4-11/7
 werckismic
52
 0-14-18
 1-9/8-11/7
 werckismic
53
 0-17-18
 1-11/9-11/7
 utonal
54
 0-4-21
 1-18/13-22/13
 otonal
55
 0-6-21
 1-15/13-22/13
 otonal
56
 0-7-21
 1-3/2-22/13
 minthmic
57
 0-14-21
 1-9/8-22/13
 minthmic
58
 0-15-21
 1-22/15-22/13
 utonal
59
 0-17-21
 1-11/9-22/13
 utonal
60
 0-1-22
 1-13/10-11/10
 otonal
61
 0-4-22
 1-7/5-11/10
 otonal
62
 0-5-22
 1-9/5-11/10
 otonal
63
 0-7-22
 1-3/2-11/10
 otonal
64
 0-9-22
 1-5/4-11/10
 valinorsmic
65
 0-13-22
 1-7/4-11/10
 valinorsmic
66
 0-15-22
 1-22/15-11/10
 utonal
67
 0-17-22
 1-11/9-11/10
 utonal
68
 0-18-22
 1-11/7-11/10
 utonal
69
 0-21-22
 1-22/13-11/10
 utonal
70
 0-2-24
 1-5/3-11/6
 otonal
71
 0-6-24
 1-7/6-11/6
 otonal
72
 0-7-24
 1-3/2-11/6
 otonal
73
 0-9-24
 1-5/4-11/6
 otonal
74
 0-10-24
 1-13/8-11/6
 minthmic
75
 0-14-24
 1-9/8-11/6
 minthmic
76
 0-15-24
 1-22/15-11/6
 utonal
77
 0-17-24
 1-11/9-11/6
 utonal
78
 0-18-24
 1-11/7-11/6
 utonal
79
 0-22-24
 1-11/10-11/6
 utonal
80
 0-7-31
 1-3/2-11/8
 otonal
81
 0-9-31
 1-5/4-11/8
 otonal
82
 0-10-31
 1-13/8-11/8
 otonal
83
 0-13-31
 1-7/4-11/8
 otonal
84
 0-14-31
 1-9/8-11/8
 otonal
85
 0-17-31
 1-11/9-11/8
 utonal
86
 0-18-31
 1-11/7-11/8
 utonal
87
 0-21-31
 1-22/13-11/8
 utonal
88
 0-22-31
 1-11/10-11/8
 utonal
89
 0-24-31
 1-11/6-11/8
 utonal

Tetrads

Number
 Chord
 Transversal
 Type
1
 0-1-2-6
 1-9/7-5/3-7/6
 sensamagic
2
 0-2-4-6
 1-5/3-7/5-7/6
 starling
3
 0-1-5-6
 1-9/7-9/5-7/6
 sensamagic
4
 0-4-5-6
 1-7/5-9/5-7/6
 sensamagic
5
 0-1-2-7
 1-9/7-5/3-3/2
 sensamagic
6
 0-1-5-7
 1-9/7-9/5-3/2
 utonal
7
 0-1-6-7
 1-9/7-7/6-3/2
 sensamagic
8
 0-2-6-7
 1-5/3-7/6-3/2
 otonal
9
 0-5-6-7
 1-9/5-7/6-3/2
 sensamagic
10
 0-2-4-9
 1-5/3-7/5-5/4
 starling
11
 0-4-5-9
 1-7/5-9/5-5/4
 starling
12
 0-2-7-9
 1-5/3-3/2-5/4
 ambitonal
13
 0-5-7-9
 1-9/5-3/2-5/4
 starling
14
 0-1-5-10
 1-9/7-9/5-13/8
 starling-superleap
15
 0-4-5-10
 1-7/5-9/5-13/8
 sensamagic-mynucumic
16
 0-1-6-10
 1-9/7-7/6-13/8
 sensigh
17
 0-4-6-10
 1-7/5-7/6-13/8
 mynucumic
18
 0-5-6-10
 1-9/5-7/6-13/8
 sensamagic-mynucumic
19
 0-4-9-10
 1-7/5-5/4-13/8
 sensigh
20
 0-5-9-10
 1-9/5-5/4-13/8
 starling-superleap
21
 0-4-6-13
 1-7/5-7/6-7/4
 utonal
22
 0-6-7-13
 1-7/6-3/2-7/4
 ambitonal
23
 0-4-9-13
 1-7/5-5/4-7/4
 starling
24
 0-7-9-13
 1-3/2-5/4-7/4
 otonal
25
 0-1-5-14
 1-9/7-9/5-9/8
 utonal
26
 0-4-5-14
 1-18/13-9/5-9/8
 utonal
27
 0-1-7-14
 1-9/7-3/2-9/8
 utonal
28
 0-5-7-14
 1-9/5-3/2-9/8
 utonal
29
 0-4-9-14
 1-7/5-5/4-9/8
 starling-superleap
30
 0-5-9-14
 1-9/5-5/4-9/8
 starling
31
 0-7-9-14
 1-3/2-5/4-9/8
 otonal
32
 0-1-10-14
 1-9/7-13/8-9/8
 superleap
33
 0-4-10-14
 1-7/5-13/8-9/8
 senga-superleap
34
 0-5-10-14
 1-9/5-13/8-9/8
 starling-superleap
35
 0-9-10-14
 1-5/4-13/8-9/8
 otonal
36
 0-4-13-14
 1-7/5-7/4-9/8
 superleap
37
 0-7-13-14
 1-3/2-7/4-9/8
 otonal
38
 0-9-13-14
 1-5/4-7/4-9/8
 otonal
39
 0-1-2-15
 1-9/7-5/3-22/15
 shrusus
40
 0-1-5-15
 1-9/7-9/5-22/15
 superleap-minthmic
41
 0-1-6-15
 1-9/7-7/6-22/15
 shrusus
42
 0-2-6-15
 1-5/3-7/6-22/15
 valinorsmic
43
 0-5-6-15
 1-9/5-7/6-22/15
 shrusic
44
 0-2-9-15
 1-5/3-5/4-22/15
 valinorsmic
45
 0-5-9-15
 1-9/5-5/4-22/15
 tridecimal thrush
46
 0-1-10-15
 1-9/7-13/8-22/15
 superleap-minthmic
47
 0-5-10-15
 1-9/5-13/8-22/15
 marveltwin-minthmic
48
 0-6-10-15
 1-7/6-13/8-22/15
 tridecimal thrush
49
 0-9-10-15
 1-5/4-13/8-22/15
 shrusic
50
 0-6-13-15
 1-7/6-7/4-22/15
 valinorsmic
51
 0-9-13-15
 1-5/4-7/4-22/15
 valinorsmic
52
 0-1-14-15
 1-9/7-9/8-22/15
 sensmic
53
 0-5-14-15
 1-9/5-9/8-22/15
 superleap-minthmic
54
 0-9-14-15
 1-5/4-9/8-22/15
 shrusus
55
 0-10-14-15
 1-13/8-9/8-22/15
 superleap-minthmic
56
 0-13-14-15
 1-7/4-9/8-22/15
 shrusus
57
 0-2-4-17
 1-5/3-7/5-11/9
 thrush
58
 0-2-7-17
 1-5/3-3/2-11/9
 minthmic
59
 0-4-10-17
 1-7/5-13/8-11/9
 mynucumic-minthmic
60
 0-4-13-17
 1-7/5-7/4-11/9
 werckismic
61
 0-7-13-17
 1-3/2-7/4-11/9
 mynucumic-minthmic
62
 0-2-15-17
 1-5/3-22/15-11/9
 valinorsmic
63
 0-10-15-17
 1-13/8-22/15-11/9
 minthmic
64
 0-13-15-17
 1-7/4-22/15-11/9
 thrush
65
 0-1-5-18
 1-9/7-9/5-11/7
 werckismic
66
 0-4-5-18
 1-7/5-9/5-11/7
 werckismic
67
 0-4-9-18
 1-7/5-5/4-11/7
 thrush
68
 0-5-9-18
 1-9/5-5/4-11/7
 thrush
69
 0-4-13-18
 1-7/5-7/4-11/7
 werckismic
70
 0-9-13-18
 1-5/4-7/4-11/7
 thrush
71
 0-1-14-18
 1-9/7-9/8-11/7
 werckismic
72
 0-4-14-18
 1-7/5-9/8-11/7
 werckismic-superleap
73
 0-5-14-18
 1-9/5-9/8-11/7
 werckismic
74
 0-9-14-18
 1-5/4-9/8-11/7
 thrush
75
 0-13-14-18
 1-7/4-9/8-11/7
 werckismic
76
 0-4-17-18
 1-7/5-11/9-11/7
 werckismic
77
 0-13-17-18
 1-7/4-11/9-11/7
 werckismic
78
 0-4-6-21
 1-18/13-15/13-22/13
 otonal
79
 0-6-7-21
 1-7/6-3/2-22/13
 superleap-minthmic
80
 0-4-14-21
 1-7/5-9/8-22/13
 superleap-minthmic
81
 0-7-14-21
 1-3/2-9/8-22/13
 minthmic
82
 0-6-15-21
 1-7/6-22/15-22/13
 valinorsmic-superleap
83
 0-14-15-21
 1-9/8-22/15-22/13
 superleap-minthmic
84
 0-4-17-21
 1-7/5-11/9-22/13
 werckismic-superleap
85
 0-7-17-21
 1-3/2-11/9-22/13
 superleap-minthmic
86
 0-15-17-21
 1-22/15-11/9-22/13
 utonal
87
 0-1-5-22
 1-13/10-9/5-11/10
 otonal
88
 0-4-5-22
 1-7/5-9/5-11/10
 otonal
89
 0-1-7-22
 1-13/10-3/2-11/10
 otonal
90
 0-5-7-22
 1-9/5-3/2-11/10
 otonal
91
 0-4-9-22
 1-7/5-5/4-11/10
 thrush
92
 0-5-9-22
 1-9/5-5/4-11/10
 thrush
93
 0-7-9-22
 1-3/2-5/4-11/10
 valinorsmic
94
 0-4-13-22
 1-7/5-7/4-11/10
 valinorsmic
95
 0-7-13-22
 1-3/2-7/4-11/10
 valinorsmic
96
 0-9-13-22
 1-5/4-7/4-11/10
 valinorsmic
97
 0-1-15-22
 1-9/7-22/15-11/10
 superleap-minthmic
98
 0-5-15-22
 1-9/5-22/15-11/10
 minthmic
99
 0-9-15-22
 1-5/4-22/15-11/10
 valinorsmic
100
 0-13-15-22
 1-7/4-22/15-11/10
 valinorsmic
101
 0-4-17-22
 1-7/5-11/9-11/10
 werckismic
102
 0-7-17-22
 1-3/2-11/9-11/10
 minthmic
103
 0-13-17-22
 1-7/4-11/9-11/10
 thrush
104
 0-15-17-22
 1-22/15-11/9-11/10
 utonal
105
 0-1-18-22
 1-9/7-11/7-11/10
 superleap
106
 0-4-18-22
 1-7/5-11/7-11/10
 werckismic
107
 0-5-18-22
 1-9/5-11/7-11/10
 werckismic
108
 0-9-18-22
 1-5/4-11/7-11/10
 valinorsmic
109
 0-13-18-22
 1-7/4-11/7-11/10
 thrush
110
 0-17-18-22
 1-11/9-11/7-11/10
 utonal
111
 0-4-21-22
 1-7/5-22/13-11/10
 superleap
112
 0-7-21-22
 1-3/2-22/13-11/10
 superleap-minthmic
113
 0-15-21-22
 1-22/15-22/13-11/10
 utonal
114
 0-17-21-22
 1-11/9-22/13-11/10
 utonal
115
 0-2-6-24
 1-5/3-7/6-11/6
 otonal
116
 0-2-7-24
 1-5/3-3/2-11/6
 otonal
117
 0-6-7-24
 1-7/6-3/2-11/6
 otonal
118
 0-2-9-24
 1-5/3-5/4-11/6
 otonal
119
 0-7-9-24
 1-3/2-5/4-11/6
 otonal
120
 0-6-10-24
 1-7/6-13/8-11/6
 mynucumic-minthmic
121
 0-9-10-24
 1-5/4-13/8-11/6
 superleap-minthmic
122
 0-7-14-24
 1-3/2-9/8-11/6
 minthmic
123
 0-9-14-24
 1-5/4-9/8-11/6
 minthmic
124
 0-10-14-24
 1-13/8-9/8-11/6
 superleap-minthmic
125
 0-2-15-24
 1-5/3-22/15-11/6
 valinorsmic
126
 0-6-15-24
 1-7/6-22/15-11/6
 valinorsmic
127
 0-9-15-24
 1-5/4-22/15-11/6
 valinorsmic
128
 0-10-15-24
 1-13/8-22/15-11/6
 minthmic
129
 0-14-15-24
 1-9/8-22/15-11/6
 superleap-minthmic
130
 0-2-17-24
 1-5/3-11/9-11/6
 otonal
131
 0-7-17-24
 1-3/2-11/9-11/6
 minthmic
132
 0-10-17-24
 1-13/8-11/9-11/6
 minthmic
133
 0-15-17-24
 1-22/15-11/9-11/6
 utonal
134
 0-9-18-24
 1-5/4-11/7-11/6
 valinorsmic
135
 0-14-18-24
 1-9/8-11/7-11/6
 mynucumic-minthmic
136
 0-17-18-24
 1-11/9-11/7-11/6
 utonal
137
 0-7-22-24
 1-3/2-11/10-11/6
 utonal
138
 0-9-22-24
 1-5/4-11/10-11/6
 valinorsmic
139
 0-15-22-24
 1-22/15-11/10-11/6
 utonal
140
 0-17-22-24
 1-11/9-11/10-11/6
 utonal
141
 0-18-22-24
 1-11/7-11/10-11/6
 utonal
142
 0-7-9-31
 1-3/2-5/4-11/8
 otonal
143
 0-9-10-31
 1-5/4-13/8-11/8
 otonal
144
 0-7-13-31
 1-3/2-7/4-11/8
 otonal
145
 0-9-13-31
 1-5/4-7/4-11/8
 otonal
146
 0-7-14-31
 1-3/2-9/8-11/8
 otonal
147
 0-9-14-31
 1-5/4-9/8-11/8
 otonal
148
 0-10-14-31
 1-13/8-9/8-11/8
 otonal
149
 0-13-14-31
 1-7/4-9/8-11/8
 otonal
150
 0-7-17-31
 1-3/2-11/9-11/8
 minthmic
151
 0-10-17-31
 1-13/8-11/9-11/8
 minthmic
152
 0-13-17-31
 1-7/4-11/9-11/8
 werckismic
153
 0-9-18-31
 1-5/4-11/7-11/8
 valinorsmic
154
 0-13-18-31
 1-7/4-11/7-11/8
 werckismic
155
 0-14-18-31
 1-9/8-11/7-11/8
 werckismic
156
 0-17-18-31
 1-11/9-11/7-11/8
 utonal
157
 0-7-21-31
 1-3/2-22/13-11/8
 minthmic
158
 0-14-21-31
 1-9/8-22/13-11/8
 minthmic
159
 0-17-21-31
 1-11/9-22/13-11/8
 utonal
160
 0-7-22-31
 1-3/2-11/10-11/8
 utonal
161
 0-9-22-31
 1-5/4-11/10-11/8
 valinorsmic
162
 0-13-22-31
 1-7/4-11/10-11/8
 valinorsmic
163
 0-17-22-31
 1-11/9-11/10-11/8
 utonal
164
 0-18-22-31
 1-11/7-11/10-11/8
 utonal
165
 0-21-22-31
 1-22/13-11/10-11/8
 utonal
166
 0-7-24-31
 1-3/2-11/6-11/8
 ambitonal
167
 0-9-24-31
 1-5/4-11/6-11/8
 otonal
168
 0-10-24-31
 1-13/8-11/6-11/8
 minthmic
169
 0-14-24-31
 1-9/8-11/6-11/8
 minthmic
170
 0-17-24-31
 1-11/9-11/6-11/8
 utonal
171
 0-18-24-31
 1-11/7-11/6-11/8
 utonal
172
 0-22-24-31
 1-11/10-11/6-11/8
 utonal

Pentads

Number
 Chord
 Transversal
 Type
1
 0-1-2-6-7
 1-9/7-5/3-7/6-3/2
 sensamagic
2
 0-1-5-6-7
 1-9/7-9/5-7/6-3/2
 sensamagic
3
 0-1-5-6-10
 1-9/7-9/5-7/6-13/8
 sensigh
4
 0-4-5-6-10
 1-7/5-9/5-7/6-13/8
 sensamagic-mynucumic
5
 0-4-5-9-10
 1-7/5-9/5-5/4-13/8
 sensigh
6
 0-1-5-7-14
 1-9/7-9/5-3/2-9/8
 utonal
7
 0-4-5-9-14
 1-7/5-9/5-5/4-9/8
 starling-superleap
8
 0-5-7-9-14
 1-9/5-3/2-5/4-9/8
 starling
9
 0-1-5-10-14
 1-9/7-9/5-13/8-9/8
 starling-superleap
10
 0-4-5-10-14
 1-7/5-9/5-13/8-9/8
 sensigh
11
 0-4-9-10-14
 1-7/5-5/4-13/8-9/8
 sensigh
12
 0-5-9-10-14
 1-9/5-5/4-13/8-9/8
 starling-superleap
13
 0-4-9-13-14
 1-7/5-5/4-7/4-9/8
 starling-superleap
14
 0-7-9-13-14
 1-3/2-5/4-7/4-9/8
 otonal
15
 0-1-2-6-15
 1-9/7-5/3-7/6-22/15
 shrusus
16
 0-1-5-6-15
 1-9/7-9/5-7/6-22/15
 shrusic
17
 0-1-5-10-15
 1-9/7-9/5-13/8-22/15
 treecreeper
18
 0-1-6-10-15
 1-9/7-7/6-13/8-22/15
 sensus
19
 0-5-6-10-15
 1-9/5-7/6-13/8-22/15
 sensus
20
 0-5-9-10-15
 1-9/5-5/4-13/8-22/15
 sensus
21
 0-1-5-14-15
 1-9/7-9/5-9/8-22/15
 superleap-minthmic
22
 0-5-9-14-15
 1-9/5-5/4-9/8-22/15
 sensus
23
 0-1-10-14-15
 1-9/7-13/8-9/8-22/15
 superleap-minthmic
24
 0-5-10-14-15
 1-9/5-13/8-9/8-22/15
 treecreeper
25
 0-9-10-14-15
 1-5/4-13/8-9/8-22/15
 shrusic
26
 0-9-13-14-15
 1-5/4-7/4-9/8-22/15
 shrusus
27
 0-4-5-9-18
 1-7/5-9/5-5/4-11/7
 thrush
28
 0-4-9-13-18
 1-7/5-5/4-7/4-11/7
 thrush
29
 0-1-5-14-18
 1-9/7-9/5-9/8-11/7
 werckismic
30
 0-4-5-14-18
 1-7/5-9/5-9/8-11/7
 werckismic-superleap
31
 0-4-9-14-18
 1-7/5-5/4-9/8-11/7
 veery
32
 0-5-9-14-18
 1-9/5-5/4-9/8-11/7
 thrush
33
 0-4-13-14-18
 1-7/5-7/4-9/8-11/7
 werckismic-superleap
34
 0-9-13-14-18
 1-5/4-7/4-9/8-11/7
 thrush
35
 0-4-13-17-18
 1-7/5-7/4-11/9-11/7
 werckismic
36
 0-1-5-7-22
 1-13/10-9/5-3/2-11/10
 otonal
37
 0-4-5-9-22
 1-7/5-9/5-5/4-11/10
 thrush
38
 0-5-7-9-22
 1-9/5-3/2-5/4-11/10
 thrush
39
 0-4-9-13-22
 1-7/5-5/4-7/4-11/10
 thrush
40
 0-7-9-13-22
 1-3/2-5/4-7/4-11/10
 valinorsmic
41
 0-1-5-15-22
 1-9/7-9/5-22/15-11/10
 superleap-minthmic
42
 0-5-9-15-22
 1-9/5-5/4-22/15-11/10
 tridecimal thrush
43
 0-9-13-15-22
 1-5/4-7/4-22/15-11/10
 valinorsmic
44
 0-4-13-17-22
 1-7/5-7/4-11/9-11/10
 thrush
45
 0-7-13-17-22
 1-3/2-7/4-11/9-11/10
 tridecimal thrush
46
 0-13-15-17-22
 1-7/4-22/15-11/9-11/10
 thrush
47
 0-1-5-18-22
 1-9/7-9/5-11/7-11/10
 werckismic-superleap
48
 0-4-5-18-22
 1-7/5-9/5-11/7-11/10
 werckismic
49
 0-4-9-18-22
 1-7/5-5/4-11/7-11/10
 thrush
50
 0-5-9-18-22
 1-9/5-5/4-11/7-11/10
 thrush
51
 0-4-13-18-22
 1-7/5-7/4-11/7-11/10
 thrush
52
 0-9-13-18-22
 1-5/4-7/4-11/7-11/10
 thrush
53
 0-4-17-18-22
 1-7/5-11/9-11/7-11/10
 werckismic
54
 0-13-17-18-22
 1-7/4-11/9-11/7-11/10
 thrush
55
 0-4-17-21-22
 1-7/5-11/9-22/13-11/10
 werckismic-superleap
56
 0-7-17-21-22
 1-3/2-11/9-22/13-11/10
 superleap-minthmic
57
 0-15-17-21-22
 1-22/15-11/9-22/13-11/10
 utonal
58
 0-2-6-7-24
 1-5/3-7/6-3/2-11/6
 otonal
59
 0-2-7-9-24
 1-5/3-3/2-5/4-11/6
 otonal
60
 0-7-9-14-24
 1-3/2-5/4-9/8-11/6
 minthmic
61
 0-9-10-14-24
 1-5/4-13/8-9/8-11/6
 superleap-minthmic
62
 0-2-6-15-24
 1-5/3-7/6-22/15-11/6
 valinorsmic
63
 0-2-9-15-24
 1-5/3-5/4-22/15-11/6
 valinorsmic
64
 0-6-10-15-24
 1-7/6-13/8-22/15-11/6
 tridecimal thrush
65
 0-9-10-15-24
 1-5/4-13/8-22/15-11/6
 shrusic
66
 0-9-14-15-24
 1-5/4-9/8-22/15-11/6
 shrusic
67
 0-10-14-15-24
 1-13/8-9/8-22/15-11/6
 superleap-minthmic
68
 0-2-7-17-24
 1-5/3-3/2-11/9-11/6
 minthmic
69
 0-2-15-17-24
 1-5/3-22/15-11/9-11/6
 valinorsmic
70
 0-10-15-17-24
 1-13/8-22/15-11/9-11/6
 minthmic
71
 0-9-14-18-24
 1-5/4-9/8-11/7-11/6
 tridecimal thrush
72
 0-7-9-22-24
 1-3/2-5/4-11/10-11/6
 valinorsmic
73
 0-9-15-22-24
 1-5/4-22/15-11/10-11/6
 valinorsmic
74
 0-7-17-22-24
 1-3/2-11/9-11/10-11/6
 minthmic
75
 0-15-17-22-24
 1-22/15-11/9-11/10-11/6
 utonal
76
 0-9-18-22-24
 1-5/4-11/7-11/10-11/6
 valinorsmic
77
 0-17-18-22-24
 1-11/9-11/7-11/10-11/6
 utonal
78
 0-7-9-13-31
 1-3/2-5/4-7/4-11/8
 otonal
79
 0-7-9-14-31
 1-3/2-5/4-9/8-11/8
 otonal
80
 0-9-10-14-31
 1-5/4-13/8-9/8-11/8
 otonal
81
 0-7-13-14-31
 1-3/2-7/4-9/8-11/8
 otonal
82
 0-9-13-14-31
 1-5/4-7/4-9/8-11/8
 otonal
83
 0-7-13-17-31
 1-3/2-7/4-11/9-11/8
 mynucumic-minthmic
84
 0-9-13-18-31
 1-5/4-7/4-11/7-11/8
 thrush
85
 0-9-14-18-31
 1-5/4-9/8-11/7-11/8
 thrush
86
 0-13-14-18-31
 1-7/4-9/8-11/7-11/8
 werckismic
87
 0-13-17-18-31
 1-7/4-11/9-11/7-11/8
 werckismic
88
 0-7-14-21-31
 1-3/2-9/8-22/13-11/8
 minthmic
89
 0-7-17-21-31
 1-3/2-11/9-22/13-11/8
 superleap-minthmic
90
 0-7-9-22-31
 1-3/2-5/4-11/10-11/8
 valinorsmic
91
 0-7-13-22-31
 1-3/2-7/4-11/10-11/8
 valinorsmic
92
 0-9-13-22-31
 1-5/4-7/4-11/10-11/8
 valinorsmic
93
 0-7-17-22-31
 1-3/2-11/9-11/10-11/8
 minthmic
94
 0-13-17-22-31
 1-7/4-11/9-11/10-11/8
 thrush
95
 0-9-18-22-31
 1-5/4-11/7-11/10-11/8
 valinorsmic
96
 0-13-18-22-31
 1-7/4-11/7-11/10-11/8
 thrush
97
 0-17-18-22-31
 1-11/9-11/7-11/10-11/8
 utonal
98
 0-7-21-22-31
 1-3/2-22/13-11/10-11/8
 superleap-minthmic
99
 0-17-21-22-31
 1-11/9-22/13-11/10-11/8
 utonal
100
 0-7-9-24-31
 1-3/2-5/4-11/6-11/8
 otonal
101
 0-9-10-24-31
 1-5/4-13/8-11/6-11/8
 superleap-minthmic
102
 0-7-14-24-31
 1-3/2-9/8-11/6-11/8
 minthmic
103
 0-9-14-24-31
 1-5/4-9/8-11/6-11/8
 minthmic
104
 0-10-14-24-31
 1-13/8-9/8-11/6-11/8
 superleap-minthmic
105
 0-7-17-24-31
 1-3/2-11/9-11/6-11/8
 minthmic
106
 0-10-17-24-31
 1-13/8-11/9-11/6-11/8
 minthmic
107
 0-9-18-24-31
 1-5/4-11/7-11/6-11/8
 valinorsmic
108
 0-14-18-24-31
 1-9/8-11/7-11/6-11/8
 mynucumic-minthmic
109
 0-17-18-24-31
 1-11/9-11/7-11/6-11/8
 utonal
110
 0-7-22-24-31
 1-3/2-11/10-11/6-11/8
 utonal
111
 0-9-22-24-31
 1-5/4-11/10-11/6-11/8
 valinorsmic
112
 0-17-22-24-31
 1-11/9-11/10-11/6-11/8
 utonal
113
 0-18-22-24-31
 1-11/7-11/10-11/6-11/8
 utonal

Hexads

Number
 Chord
 Transversal
 Type
1
 0-4-5-9-10-14
 1-7/5-9/5-5/4-13/8-9/8
 sensigh
2
 0-1-5-6-10-15
 1-9/7-9/5-7/6-13/8-22/15
 sensus
3
 0-1-5-10-14-15
 1-9/7-9/5-13/8-9/8-22/15
 treecreeper
4
 0-5-9-10-14-15
 1-9/5-5/4-13/8-9/8-22/15
 sensus
5
 0-4-5-9-14-18
 1-7/5-9/5-5/4-9/8-11/7
 veery
6
 0-4-9-13-14-18
 1-7/5-5/4-7/4-9/8-11/7
 veery
7
 0-4-5-9-18-22
 1-7/5-9/5-5/4-11/7-11/10
 thrush
8
 0-4-9-13-18-22
 1-7/5-5/4-7/4-11/7-11/10
 thrush
9
 0-4-13-17-18-22
 1-7/5-7/4-11/9-11/7-11/10
 thrush
10
 0-9-10-14-15-24
 1-5/4-13/8-9/8-22/15-11/6
 shrusic
11
 0-7-9-13-14-31
 1-3/2-5/4-7/4-9/8-11/8
 otonal
12
 0-9-13-14-18-31
 1-5/4-7/4-9/8-11/7-11/8
 thrush
13
 0-7-9-13-22-31
 1-3/2-5/4-7/4-11/10-11/8
 valinorsmic
14
 0-7-13-17-22-31
 1-3/2-7/4-11/9-11/10-11/8
 tridecimal thrush
15
 0-9-13-18-22-31
 1-5/4-7/4-11/7-11/10-11/8
 thrush
16
 0-13-17-18-22-31
 1-7/4-11/9-11/7-11/10-11/8
 thrush
17
 0-7-17-21-22-31
 1-3/2-11/9-22/13-11/10-11/8
 superleap-minthmic
18
 0-7-9-14-24-31
 1-3/2-5/4-9/8-11/6-11/8
 minthmic
19
 0-9-10-14-24-31
 1-5/4-13/8-9/8-11/6-11/8
 superleap-minthmic
20
 0-9-14-18-24-31
 1-5/4-9/8-11/7-11/6-11/8
 tridecimal thrush
21
 0-7-9-22-24-31
 1-3/2-5/4-11/10-11/6-11/8
 valinorsmic
22
 0-7-17-22-24-31
 1-3/2-11/9-11/10-11/6-11/8
 minthmic
23
 0-9-18-22-24-31
 1-5/4-11/7-11/10-11/6-11/8
 valinorsmic
24
 0-17-18-22-24-31
 1-11/9-11/7-11/10-11/6-11/8
 utonal